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Finding the Fourth Proportional to 81,194, 121,806.36 and 37,418

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Solution

The fourth proportional to 81,194, 121,806.36 and 37,418 is: 56,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,194 : 121,806.36 = 37,418 : x
  2. Step 2: Convert to fraction form
    81,194/121,806.36 = 37,418/x
  3. Step 3: Cross multiply
    81,194x = 121,806.36 × 37,418
  4. Step 4: Simplify right side
    81,194x = 4,557,750,378.48
  5. Step 5: Solve for x
    x = 4,557,750,378.48/81,194
  6. Step 6: Final answer
    x = 56,134.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.